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Finding the Fourth Proportional to 301,835.06, 416,358.92 and 188,460.98

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Solution

The fourth proportional to 301,835.06, 416,358.92 and 188,460.98 is: 259,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,835.06 : 416,358.92 = 188,460.98 : x
  2. Step 2: Convert to fraction form
    301,835.06/416,358.92 = 188,460.98/x
  3. Step 3: Cross multiply
    301,835.06x = 416,358.92 × 188,460.98
  4. Step 4: Simplify right side
    301,835.06x = 78,467,410,094.94
  5. Step 5: Solve for x
    x = 78,467,410,094.94/301,835.06
  6. Step 6: Final answer
    x = 259,967.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.